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Simplifying 15 + b = 7(-1b + 1) Reorder the terms: 15 + b = 7(1 + -1b) 15 + b = (1 * 7 + -1b * 7) 15 + b = (7 + -7b) Solving 15 + b = 7 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 15 + b + 7b = 7 + -7b + 7b Combine like terms: b + 7b = 8b 15 + 8b = 7 + -7b + 7b Combine like terms: -7b + 7b = 0 15 + 8b = 7 + 0 15 + 8b = 7 Add '-15' to each side of the equation. 15 + -15 + 8b = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 8b = 7 + -15 8b = 7 + -15 Combine like terms: 7 + -15 = -8 8b = -8 Divide each side by '8'. b = -1 Simplifying b = -1
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